Question

question 17 (mandatory) (1 point)
a bucket contains 425 ml of water. the capacity of water in the bucket increases 4.8% each hour. which equation models the situation?
a) c(t)=425(4.8)^t
b) c(t)=425(1.048)^t
c) c(t)=425(0.048)^t
d) c(t)=425(0.952)^t

Explanation:

Step1: Recall compound - growth formula

The general formula for exponential growth is $C(t)=C_0(1 + r)^t$, where $C_0$ is the initial amount, $r$ is the growth rate as a decimal, and $t$ is the time.

Step2: Identify values

Here, $C_0 = 425$ mL (initial amount of water), and $r=4.8\%=0.048$ (growth rate per hour).

Step3: Substitute values into formula

Substituting $C_0 = 425$ and $r = 0.048$ into $C(t)=C_0(1 + r)^t$, we get $C(t)=425(1 + 0.048)^t=425(1.048)^t$.

Answer:

B. $C(t)=425(1.048)^t$